Abstract

ABSTRACT In the paper ‘Composition operators on weighted Bergman spaces of Dirichlet series. J Math Anal Appl. 2015;426:340–363’, Bailleul completely characterized the boundedness of composition operators on weighted Bergman spaces of Dirichlet series for the case of symbols with c 0 ≥ 1 . But the sufficient conditions for the other case c 0 = 0 were unsolved. In this paper, we follow this line and study the boundedness of composition operators on weighted Bergman spaces of Dirichlet series for the case c 0 = 0 . Moreover, we also obtain the compact characterizations of composition operators with c 0 ≥ 1 .

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